Source authenticated

Schiffer's Conjecture and the Pompeiu Problem

Also refutes the 1929 Pompeiu problem: Corollary 1.2 applies Williams' classical 1976 equivalence to the same constructed domains, so this is one construction settling both, not two separate results.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Aug 5, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-assisted. Editorial metadata: CC BY 4.0; linked content retains its own rights.

Canonical aliases: Schiffer's Conjecture and the Pompeiu Problem · Schiffer's Conjecture

Confidence: Not scored

Registry verification: lean verified · preprint · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Gonzalo Cao-Labora
human · human collaborator

Jaume de Dios Pont
human · human collaborator

GPT-5.6
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Claude Opus 4.8
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Claude Fable 5
model · ai model contributor · maker attribution ambiguous: OpenAI, Anthropic

Artifacts and verifiers

Lean formalization of Theorem 1.1 and Corollary 1.2

lean artifact · passed

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Gonzalo Cao-Labora

This event attributed to Jaume de Dios Pont

This event attributed to GPT-5.6

This event attributed to Claude Opus 4.8

This event attributed to Claude Fable 5

Lean formalization of Theorem 1.1 and Corollary 1.2 evidence for this event

VibeMathed record: Schiffer's Conjecture and the Pompeiu Problem evidence for this event

Schiffer's Conjecture and the Pompeiu Problem parent of this event

Pompeiu problem Wikipedia article evidence for this event

Also refutes the 1929 Pompeiu problem: Corollary 1.2 applies Williams' classical 1976 equivalence to the same constructed domains, so this is one construction settling both, not two separate results. parent of this event

Schiffer's Conjecture and the Pompeiu Problem evidence for this event

Act on this frontier

Verify, challenge, or extend the result.